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Finding the Fourth Proportional to 73,175.64, 100,982.57 and 39,641.64

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Solution

The fourth proportional to 73,175.64, 100,982.57 and 39,641.64 is: 54,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,175.64 : 100,982.57 = 39,641.64 : x
  2. Step 2: Convert to fraction form
    73,175.64/100,982.57 = 39,641.64/x
  3. Step 3: Cross multiply
    73,175.64x = 100,982.57 × 39,641.64
  4. Step 4: Simplify right side
    73,175.64x = 4,003,114,488.01
  5. Step 5: Solve for x
    x = 4,003,114,488.01/73,175.64
  6. Step 6: Final answer
    x = 54,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.